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Open AccessArticle

Hyperfuzzy Ideals in BCK/BCI-Algebras

1
Department of Mathematics, Jeju National University, Jeju 63243, Korea
2
Department of Mathematics, Natural Science of College, Gyeongsang National University, Jinju 52828, Korea
3
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
*
Author to whom correspondence should be addressed.
To the memory of Professor Lotfi A. Zadeh.
Mathematics 2017, 5(4), 81; https://doi.org/10.3390/math5040081
Received: 17 November 2017 / Revised: 10 December 2017 / Accepted: 10 December 2017 / Published: 14 December 2017
(This article belongs to the Special Issue Fuzzy Mathematics)
The notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established. Relations between hyperfuzzy ideals and hyperfuzzy subalgebras are discussed. Conditions for hyperfuzzy subalgebras to be hyperfuzzy ideals are provided. View Full-Text
Keywords: hyperfuzzy set; hyperfuzzy subalgebra; hyperfuzzy ideal hyperfuzzy set; hyperfuzzy subalgebra; hyperfuzzy ideal
MDPI and ACS Style

Song, S.-Z.; Kim, S.J.; Jun, Y.B. Hyperfuzzy Ideals in BCK/BCI-Algebras. Mathematics 2017, 5, 81.

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